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Finding the Fourth Proportional to 380,388.56, 524,936.20 and 210,622.64

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Solution

The fourth proportional to 380,388.56, 524,936.20 and 210,622.64 is: 290,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,388.56 : 524,936.20 = 210,622.64 : x
  2. Step 2: Convert to fraction form
    380,388.56/524,936.20 = 210,622.64/x
  3. Step 3: Cross multiply
    380,388.56x = 524,936.20 × 210,622.64
  4. Step 4: Simplify right side
    380,388.56x = 110,563,448,275.57
  5. Step 5: Solve for x
    x = 110,563,448,275.57/380,388.56
  6. Step 6: Final answer
    x = 290,659.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.